BFKL equation for an integrated gluon density

Abstract

We show how it is possible to rewrite the BFKL equation for the unintegrated gluon distribution, in terms of integrated gluons, similar to that used in DGLAP. We add to our equation the next-to-leading log terms which provide exact energy-momentum conservation and account for the kinematic constraint in real gluon emission. In this way the equation includes the major part of the higher-order corrections to BFKL evolution. We discuss the possibility to obtain a unified BFKL-DGLAP evolution equation relevant to processes at the LHC where both log(1/x) and logQ^2 are large simultaneously.

arXiv comment11 pages, text clarified, version to be published in EPJC

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Cited by in corpus (3)

• The chaotic effects in a nonlinear QCD evolution equation
• Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data
• Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics